If A tank with a flat bottom is filled with water to a height of four meters. what is the pressure at any point at the bottom of the tank? my teacher wants me to ignore atmospheric pressure when calculating my answer A. 3.5 kPa B. 3,500 kPa C. 34.3 kPa D. 34,300 kPa
Pressure is given by the formula -pgh.... p= desity of water , g gravity ,and h height .
Pressure at the depth 3.5m =1*9.8*3.5 pa
=34.3 pa.
Assuming density of water is 1
To calculate the pressure at any point at the bottom of the tank, you can use the formula for pressure:
Pressure = Density × g × height
Where:
- Density represents the density of the liquid (water in this case)
- g is the acceleration due to gravity (approximately 9.8 m/s²)
- Height is the distance from the surface of the liquid to the point at the bottom of the tank.
In this case, the density of water can be considered constant at 1000 kg/m³. The height is given as 4 meters.
Plugging these values into the formula:
Pressure = 1000 kg/m³ × 9.8 m/s² × 4 m
= 39,200 Pascal
Now, to convert Pascal to the given answer choices:
A. 3.5 kPa = 3.5 × 1000 Pascal = 3,500 Pascal
B. 3,500 kPa = 3,500 × 1000 Pascal = 3,500,000 Pascal
C. 34.3 kPa = 34.3 × 1000 Pascal = 34,300 Pascal
D. 34,300 kPa = 34,300 × 1000 Pascal = 34,300,000 Pascal
Comparing these values to the calculated pressure of 39,200 Pascal, we can see that the closest answer is C. 34.3 kPa.